simplify \(\frac{10}{\sqrt{32}}\)
-
\(\frac{5}{4}\sqrt{2}\)
- \(\frac{4}{5}\sqrt{2}\)
- \(\frac{5}{16}\sqrt{2}\)
- \(\frac{16}{5}\sqrt{2}\)
The correct answer is: A
Explanation
\(\frac{10}{\sqrt{32}}\) = \(\frac{10}{\sqrt{16\times 2}}\) = \(\frac{10}{4\sqrt{2}}\)
\(\frac{10\times \sqrt{2}}{4\sqrt{2}\times\sqrt{2}}\) = \(\frac{10\sqrt{2}}{4\times 2}\) = \(\frac{5}{4}\sqrt{2}\)